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Reliability Optimization and Importance Analysis of Circular-Consecutive -out-of- System

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  • Shuai Zhang
  • Jiang-bin Zhao
  • Hong-guang Li
  • Ning Wang

Abstract

The circular-consecutive -out-of- : system (Cir/Con/ / : system) usually consists of components arranged in a circle where the system fails (works) if consecutive components fail (work). The optimization of the Cir/Con/ / system is a typical case in the component assignment problem. In this paper, the Birnbaum importance-based genetic algorithm (BIGA), which takes the advantages of genetic algorithm and Birnbaum importance, is introduced to deal with the reliability optimization for Cir/Con/ / system. The detailed process and property of BIGA are put forward at first. Then, some numerical experiments are implemented, whose results are compared with two classic Birnbaum importance-based search algorithms, to evaluate the effectiveness and efficiency of BIGA in Cir/Con/ / system. Finally, three typical cases of Cir/Con/ / systems are introduced to demonstrate the relationships among the component reliability, optimal permutation, and component importance.

Suggested Citation

  • Shuai Zhang & Jiang-bin Zhao & Hong-guang Li & Ning Wang, 2017. "Reliability Optimization and Importance Analysis of Circular-Consecutive -out-of- System," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-17, August.
    • Handle: RePEc:hin:jnlmpe:1831537
    DOI: 10.1155/2017/1831537
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    Cited by:

    1. Qiu, Siqi & Ming, Xinguo & Sallak, Mohamed & Lu, Jialiang, 2022. "A Birnbaum importance-based two-stage approach for two-type component assignment problems," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).

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